Will my yellow eyebrow tattoos fade completely after bad permanent makeup 2 years ago? (Photo)

I've had 5 laser sessions which have been great in removing dark, cool toned ink, but left me with bright yellow brows. Upon checking ingredients of the ink used, yellow pigment was indeed present. My doc never wants to be aggressive as he doesn’t want to give me hypopigmented skin, but I have a feeling that the yellow is not going to fade via laser. Will it fade with sun exposure? What can I do to speed the process up?